Topic
Euclidean quantum gravity
About: Euclidean quantum gravity is a research topic. Over the lifetime, 1915 publications have been published within this topic receiving 67402 citations.
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TL;DR: By disentangling the hamiltonian constraint equations, 2 + 1 dimensional gravity (with or without a cosmological constant) is shown to be exactly soluble at the classical and quantum levels.
2,636 citations
TL;DR: In this article, the authors define the continuum limit and compute the partition function for closed surfaces of any genus, and discuss the appropriate way to define continuum string perturbation theory in these systems and show that the coefficients (as well as critical exponents) are universal.
1,038 citations
TL;DR: A nonperturbative definition of two-dimensional quantum gravity is proposed, based on a double-scaling limit of the random-matrix model, and an exact differential equation for the partition function ofTwo-dimensional gravity coupled to conformal matter is derived.
Abstract: We propose a nonperturbative definition of two-dimensional quantum gravity, based on a double-scaling limit of the random-matrix model. We derive an exact differential equation for the partition function of two-dimensional gravity coupled to conformal matter as a function of the string coupling constant that governs the genus expansion of two-dimensional surfaces, and discuss its properties and consequences. We also construct and discuss the correlation functions of an infinite set of local operators for spherical topology.
945 citations
Book•
01 Jan 1991
TL;DR: In this article, the authors present an up-to-date account of a non-perturbative, canonical quantization program for gravity, which was highlighted in virtually every major conference in gravitational physics over the past three years.
Abstract: Notes prepared in Collaboration with Ranjeet S Tate It is now generally recognized that perturbative field theoretical methods that have been highly successful in the quantum description of non-gravitational interactions cannot be used as a means of constructing a quantum theory of gravity. The primary aim of the book is to present an up- to-date account of a non-perturbative, canonical quantization program for gravity. Many of the technical results obtained in the process are of interest also to differential geometry, classical general relativity and QCD. The program as a whole was highlighted in virtually every major conference in gravitational physics over the past three years.
915 citations